A new approach to fuzzy optimization based on the generalization of Bellman-Zadeh's (BZ) concept is proposed in this article. It consists of a parametric generalization of intersection of fuzzy sets and a generalized defuzzification method. This approach allows the solving of a fuzzy mathematical pr
A general approach to fuzzy concepts
β Scribed by Andrei Popescu
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 207 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
Abstract
The paper proposes a flexible way to build concepts within fuzzy logic and set theory. The framework is general enough to capture some important particular cases, with their own independent interpretations, like βantitoneβ or βisotoneβ concepts constructed from fuzzy binary relations, but also to allow the two universes (of objects and attributes) to be equipped each with its own truth structure. Perhaps the most important feature of our approach is that we do not commit ourselves to any kind of logical connector, covering thus the case of a possibly nonβcommutative conjunction too. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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